Synopses & Reviews
REAs PRAXIS II Middle School Mathematics (0069) Test Prep with TestWare CDGets You Certified and in the Classroom!
Updated Second Edition!
Nationwide, more than 5 million teachers will be needed over the next decade, and all must take appropriate tests to be licensed. REA gets you ready for your teaching career with our outstanding library of Teacher Certification test preps!
Scoring well on the PRAXIS II Middle School Mathematics (0069) test doesnt just help you get certified to teach, it helps you build your career.
This new edition of our popular PRAXIS II test prep was designed to help you master the information on the Middle School Mathematics exam. This test prep is perfect for college students, teachers, and career-changing professionals who are seeking certification as Middle School Mathematics teachers.
Written by mathematics experts, this comprehensive review guides you through all the mathematics categories tested on the exam. Topics covered include: arithmetic and basic algebra, geometry and measurement, functions and graphs, data probability and statistical concepts, discrete math, and mathematical reasoning.
Three full-length, multiple-choice practice tests in the book simulate the actual PRAXIS exam. Each practice test is balanced to include every type of question, subject area, and skill tested on the exam. Our practice tests replicate the PRAXIS question format, allowing you to assess your skills and gauge your test-readiness.
This TestWare edition features two of the books practice tests on CD in a timed format with instant scoring, diagnostic feedback, and on-screen detailed explanations of answers. Our TestWare CD offers the most powerful scoring and diagnostic tools available today. Automatic scoring and instant reports help you zero in on the topics and types of questions that give you trouble now, so youll succeed when it counts!
Every practice exam comes with detailed feedback on every question. We dont just say which answers are right—we explain why the other answer choices are wrong—so youll be prepared on test day. Our detailed explanations of answers help you identify your strengths and weaknesses while building your skills. This complete test prep package comes with a customized study schedule and REAs test-taking strategies and tips.
REA books and software have proven to be the extra support teacher candidates need to pass their challenging tests for licensure. Our comprehensive test preps are teacher-recommended and written by experts in the field.
This test prep is a must-have for teacher certification candidates across the country!
REA books and software have proven to be the extra support teacher candidates need to pass their challenging tests for licensure. Our comprehensive test preps are teacher-recommended and written by experts in the field.
Synopsis
REA's PRAXIS II: Middle School Mathematics Test Prep with Online Practice Gets You Certified and in the Classroom!Nationwide, more than 4 million teachers will be needed over the next decade, and all must take appropriate tests to be licensed. REA gets you ready for your teaching career with our outstanding library of Teacher Certification test preps.
REA's PRAXIS II: Middle School Mathematics (5169) test prep is designed to help you master the information on this important exam, bringing you one step closer to being certified to teach middle school math. It's perfect for college students, out-of-state teachers, and career-changing professionals who are looking to teach middle school math in states where this exam is required.
This study package contains in-depth reviews of all the content categories and topics tested on the PRAXIS II: Middle School Mathematics exam. A pretest and posttest are offered online to help you pinpoint strengths and weaknesses as you study the review chapters.
The book includes two full-length practice tests based on actual PRAXIS questions and features every type of question, subject area, and skill tested on the exam. Two additional practice tests are offered online at the REA Study Center and come with automatic scoring, timed testing conditions, and diagnostic feedback to help you zero in on the topics and types of questions that give you trouble now, so you can succeed on test day.
This test prep is a must-have for anyone prepping for the PRAXIS II: Middle School Math exam!
Synopsis
PRAXIS II MIDDLE SCHOOL MATHEMATICS (5169)
Get Ready for the PRAXIS with REAs Book + Online Prep
For decades, REAs test preps have proven to be the extra support teacher candidates need to pass their licensure and certification tests.
Our all-inclusive test prep was developed by teacher education experts and gives you everything you need to succeed on test day. Let REA help put you on the path to a rewarding career as an educator.
Book + Online
Targeted Review—covers all the content youre sure to encounter on the test—Numbers and Operations, Algebra, Functions and Their Graphs, Geometry and Measurement, and Probability, Statistics, and Discrete Mathematics.
Expert Test-Taking Strategies—Get practical score-raising advice from a test expert. The author shares detailed strategies and explains the best way to answer questions.
Online Diagnostic Test—targets what you need to know. Topic-level score reports pinpoint your strengths and weaknesses and help raise your score by showing you exactly where to focus your study.
Online Posttest—shows you what youve learned. Instant scoring and diagnostic feedback identify areas where you need more practice and review.
4 Full-Length Practice Tests—(2 in the book and 2 online) balanced to include every type of question you can expect on the actual PRAXIS test, so youll be confident and prepared on test day.
Online REA Study Center - practice exams, timed testing, automatic scoring, powerful diagnostics, detailed explanations of answers.
With REA, youll get one step closer to your certification goals!
Synopsis
Graphs
Probability
Properties of Probabilities
Methods of Computing Probabilities
Statistics
Measures of Variability
CHAPTER 6 - DISCRETE MATHEMATICS
Logic
Sets
Counting Methods
Discrete Mathematics Sequences and Series
Linear Equations and Matrices
Networks
Algorithms
Flow Charts
CHAPTER 7 - MATHEMATICAL REASONING, PROOF, CONNECTIONS
Basic Concepts of Logic
Method of Proof
Mathematics as Communication
Defining Objects and Concepts in Mathematics
The Language of Mathematics
Beyond Words
Mathematical Connections
Mental Connections
Equivalent Representations
Relationships Between Mathematical Topics
Representations of Arithmetic Operations
PRACTICE TEST 1
Sample Mathematics Definitions and Formulas
Practice Test
Answer Key
Detailed Explanations of Answers
PRACTICE TEST 2
Sample Mathematics Definitions and Formulas
Practice Test
Answer Key
Detailed Explanations of Answers
PRACTICE TEST 3
Sample Mathematics Definitions and Formulas
Practice Test
Answer Key
Detailed Explanations of Answers
INSTALLING REAS TestWare®
Synopsis
ARE YOU READY TO PASS THE PRAXIS?THEN USE THE MOST COMPREHENSIVE GUIDE ON THE MARKET TODAY. PRAXIS II Middle School Mathematics (0069) The Most Complete Subject Review:
Everything you need to know for the PRAXIS II Middle School Mathematics (0069) exam, prepared by an expert in mathematics assessment. Comprehensive review chapters cover all the subjects and skills tested on the exam. The Best Practice Exams Available:
3 full-length practice exams based on the official PRAXIS test - balanced to include every topic and type of question you can expect on the actual PRAXIS II Middle School Mathematics exam. Total Explanations of Questions & Answers:
Each PRAXIS II Middle School Mathematics practice test comes with detailed feedback on every question. We dont just say which answers are right - but explain why the others are wrong, so youll be prepared on test day! Proven Test Prep Methods:
REAs focused PRAXIS II Middle School Mathematics content and practical advice has helped millions succeed on their exams. With our step-by-step study plan, you can score high on the PRAXIS and get certified to teach! Federal Guidelines for NCLB Compliance:
You can expect that candidates with NCLB-compliant credentials will enjoy preferential status in hiring. This means you need to pass the PRAXIS Assessments. Maximize your exam performance and master the PRAXIS Assessments with the unrivaled certification expertise that only REA can offer. Get the Worlds Most Advanced PRAXIS Software:
REAs PRAXIS II Middle School Mathematics TestWare combines a realistic test environment with the most powerful scoring analysis and diagnostic tools available. With every practice test you take, youll gain knowledge and confidence for the real exam. Automatic scoring and instant reports help you zero in on the topics and types of questions that give you trouble now, so youll succeed on the exam!
Synopsis
Test prep on the Praxis II Middle School Mathematics Test (5169), including subject reviews and three practice tests
About the Author
Stephen Reiss is the founder and owner of The Math Magician, a leading San Diego-based provider of supplementary mathematics instruction. His company specializes in seminar and private instruction, preparing students for a wide range of standardized tests including the GED® test. He earned his B.A. from Clark University and his M.B.A. from Arizona State University. Mr. Reiss has written many mathematics test preparation publications.
About Our Editor
Sandra Rush earned a Bachelor of Arts degree in mathematics from Temple University in Philadelphia. While an undergraduate student, she served as a math tutor for members of the basketball team as well as for local public school students. Ms. Rushs interest in education has extended beyond the classroom to the field of publishing, including writing and editing manuals on preparation for standardized tests at all levels.
Table of Contents
Contents
About Our Author
About Our Editor
About Research & Education Association
Chapter 1 Passing the Middle School Mathematics Exam
About the Praxis II Middle School Mathematics Test
How This Book and Online Prep Will Help You
Preparing for Your Test
Study Schedule
What to Expect at the Testing Site
Your Computer Testing Station
Types of Questions and Strategies
Test-Taking Strategies
Your Best Friend: Scratch Paper
The Online Calculator
Calculator Tips
Scoring the Test
Contacting ETS
Diagnostic Test
Chapter 2 Numbers and Operations
The Real Number System
Order of Operations
Properties of the Real Number System
Exponents
Properties of Exponents
Negative Exponents
Scientific Notation
Fractions, Decimals, and Percentages
Fractions
Adding and Subtracting Fractions
Multiplying and Dividing Fractions
Decimals
Comparing Fractions and Decimals
Percentages
Absolute Value
Ratios and Proportions
Applications of Ratios
Applications of Proportions
Scale Factor
Percentages as Proportions
Number Theory
Divisibility
Prime Numbers
Prime Factorization
Greatest Common Factor
Least Common Multiple
Operations Involving Radicals
Approximating and Simplifying Square Roots
Adding and Subtracting Square Roots
Multiplying and Dividing Square Roots
Rationalizing the Denominator
Estimation
Using Rounding for Estimation
Chapter 3 Algebra
Algebraic Terms and Expressions
Order of Operations
Expressions with Like Terms
Equations
Multistep Equations
Equations with Decimals
Equations with Fractions
Multivariable Equations
Equations with Exponents and Square Roots
Direct and Inverse Variation
Using Equations to Model Real-World Contexts
Graphing Linear Equations
Linear Equations
Linear Inequalities
Graphs of Absolute Value Equations
Equations with Two Variables
The Coordinate Plane
Slopes of Lines
The Slope-Intercept Form of a Line
Deriving the Equation of a Line
The Point-Slope Form of a Line
Systems of Equations
Graphing Systems of Linear Equations
Graphing Systems of Linear Inequalities
Solving Systems of Equations Algebraically
Quadratics
Quadratic Expressions and Equations
Factoring Quadratic Expressions
Quadratic Equations
The Quadratic Formula
Patterns
Chapter 4 Functions and Their Graphs
Relations
Functions
Functional Notation
Domains of Functions
Linear Functions
Applications of Linear Functions
Intercepts of a Linear Function
Quadratic Functions
Graphing Quadratic Functions
Domain and Range of Quadratic Functions
Other Functions
Absolute Value Functions
Exponential Functions
Modeling Functions Based on Data
Chapter 5 Geometry and Measurement
Points, Lines, and Planes
Points
Lines
The Distance Formula
The Midpoint Formula
Planes
Angles
Types of Angles
Special Angle Pairs
Perpendicular and Parallel Lines
Angles Formed by Parallel Lines and a Transversal
Polygons
Triangles
Angle-Side Relationship
Exterior Angles
Right Triangles
Quadrilaterals
Congruence and Similarity
Congruent Figures
Similar Figures
Perimeter and Area of Polygons
Circles
Circumference of a Circle and an Arc
Area of a Circle and a Sector
Three-Dimensional Figures
Surface Area
Volume
Transformation, Nets, and Constructions
Transformations
Nets
Constructions
Units of Measure
The U.S. System
The Metric System
Chapter 6 Probability, Statistics, and Discrete Mathematics
Interpreting Data Displays
Tables
Bar Graphs and Histograms
Stem-and-Leaf Plots
Pie Charts
Line Graphs
The Counting Principle
Probability
Independent Events
Dependent Events
Geometric Probability
Measures of Central Tendency
The Mean
The Median
The Mode
The Range
Using the Best Measures of Central Tendency
Boxplots
Discrete Mathematics
Venn Diagrams
Algorithms
Flow Charts
Posttest
PRACTICE TESTS
Online
Practice Test 1
Practice Test 2
In Book
Practice Test 3
Answer Key
Detailed Explanations
Practice Test 4
Answer Key
Detailed Explanations